Clamping device

A clamping device with a base body (2) which comprises a central receptacle (5) for a component or tool to be clamped, in the base body (2) at least one groove (6) being formed which is open to a face side of the base body (2), and with at least one clamping wedge (9b) which can be pressed axially into the groove (6) from the open face side of the latter to radially deforming an inner wall section (7) lying between the groove (6) and the receptacle, wherein the wall (10) which defines the groove (6) on the outside is designed to be elastic over at least an axial partial section such that it is elastically deformed to the outside when the at least one clamping wedge (9b) is pressed into the groove (6), characterised in that in the base body (2) a number of grooves (6) are formed which are disposed, evenly distributed, about the receptacle (5), and that spaced apart evenly in the circumferential direction, a number of clamping wedges (9b) are provided on an annular body (9a) and project substantially axially from the latter.